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Simplifying 4(x + 14) + -3(x + 3) = 3(x + -7) + 4(x + -4) Reorder the terms: 4(14 + x) + -3(x + 3) = 3(x + -7) + 4(x + -4) (14 * 4 + x * 4) + -3(x + 3) = 3(x + -7) + 4(x + -4) (56 + 4x) + -3(x + 3) = 3(x + -7) + 4(x + -4) Reorder the terms: 56 + 4x + -3(3 + x) = 3(x + -7) + 4(x + -4) 56 + 4x + (3 * -3 + x * -3) = 3(x + -7) + 4(x + -4) 56 + 4x + (-9 + -3x) = 3(x + -7) + 4(x + -4) Reorder the terms: 56 + -9 + 4x + -3x = 3(x + -7) + 4(x + -4) Combine like terms: 56 + -9 = 47 47 + 4x + -3x = 3(x + -7) + 4(x + -4) Combine like terms: 4x + -3x = 1x 47 + 1x = 3(x + -7) + 4(x + -4) Reorder the terms: 47 + 1x = 3(-7 + x) + 4(x + -4) 47 + 1x = (-7 * 3 + x * 3) + 4(x + -4) 47 + 1x = (-21 + 3x) + 4(x + -4) Reorder the terms: 47 + 1x = -21 + 3x + 4(-4 + x) 47 + 1x = -21 + 3x + (-4 * 4 + x * 4) 47 + 1x = -21 + 3x + (-16 + 4x) Reorder the terms: 47 + 1x = -21 + -16 + 3x + 4x Combine like terms: -21 + -16 = -37 47 + 1x = -37 + 3x + 4x Combine like terms: 3x + 4x = 7x 47 + 1x = -37 + 7x Solving 47 + 1x = -37 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 47 + 1x + -7x = -37 + 7x + -7x Combine like terms: 1x + -7x = -6x 47 + -6x = -37 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + -6x = -37 + 0 47 + -6x = -37 Add '-47' to each side of the equation. 47 + -47 + -6x = -37 + -47 Combine like terms: 47 + -47 = 0 0 + -6x = -37 + -47 -6x = -37 + -47 Combine like terms: -37 + -47 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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