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Simplifying [7(x + 4) + -18] + -1[3(x + -4) + 3] = 0 Reorder the terms: [7(4 + x) + -18] + -1[3(x + -4) + 3] = 0 [(4 * 7 + x * 7) + -18] + -1[3(x + -4) + 3] = 0 [(28 + 7x) + -18] + -1[3(x + -4) + 3] = 0 Reorder the terms: [28 + -18 + 7x] + -1[3(x + -4) + 3] = 0 Combine like terms: 28 + -18 = 10 [10 + 7x] + -1[3(x + -4) + 3] = 0 Remove brackets around [10 + 7x] 10 + 7x + -1[3(x + -4) + 3] = 0 Reorder the terms: 10 + 7x + -1[3(-4 + x) + 3] = 0 10 + 7x + -1[(-4 * 3 + x * 3) + 3] = 0 10 + 7x + -1[(-12 + 3x) + 3] = 0 Reorder the terms: 10 + 7x + -1[-12 + 3 + 3x] = 0 Combine like terms: -12 + 3 = -9 10 + 7x + -1[-9 + 3x] = 0 10 + 7x + [-9 * -1 + 3x * -1] = 0 10 + 7x + [9 + -3x] = 0 Reorder the terms: 10 + 9 + 7x + -3x = 0 Combine like terms: 10 + 9 = 19 19 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x 19 + 4x = 0 Solving 19 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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